Signal Processing - Study Mode
[#296] The z-transform of a signal is given by $$Cleft( z
ight) = {1 over 4}{{{z^{ - 1}}left( {1 - {z^{ - 4}}}
ight)} over {{{left( {1 - {z^{ - 1}}}
ight)}^2}}}.$$ xa0 xa0 Its final value is
Correct Answer
(B) Zero
[#297] Match List-I with List-II and select the correct answer using the options given below: List-I (x[n]) List-II (X(z)) a. $${a^n}uleft[ n
ight]$$ 1. $$frac{{az}}{{{{left( {z - a}
ight)}^2}}}$$ b. $${a^{n - 2}}uleft[ {n - 2}
ight]$$ 2. $$frac{{z{e^{ - j}}}}{{z{e^{ - j}} - a}}$$ c. $${e^{jn}}{a^n}$$ 3. $$frac{z}{{z - a}}$$ d. $$n.{a^n}uleft[ n
ight]$$ 4. $$frac{{{z^{ - 1}}}}{{z - a}}$$
Correct Answer
(C) a-3, b-4, c-2, d-1
[#298] The minimum number of delay elements required in realizing a digital filter with the transfer function $$Hleft( z
ight) = frac{{1 + a{z^{ - 1}} + b{z^{ - 2}}}}{{1 + c{z^{ - 1}} + d{z^{ - 2}} + e{z^{ - 3}}}}$$ xa0 xa0 xa0is
Correct Answer
(B) 3
[#299] An input x[n] with length 3 is applied to a linear time invariant system having an impulse response h[n] of length 5 and Y(ω) is the DTFT of the output y[n] of the system. If |h[n]| ≤ L and |x[n]| ≤ L for all n, the maximum value of Y(0) can be:
Correct Answer
(D) 7 LB
[#300] The complex exponential power form of Fourier series of x(t) is: $$xleft( t
ight) = sum
olimits_{k = - infty }^infty {{a_k}.{e^{jfrac{{2pi }}{{{T_0}}}.kt}}} $$ If $$xleft( t
ight) = sum
olimits_{b = - infty }^infty delta left( {t - b}
ight),$$ xa0 xa0 then the value of ak is:
Correct Answer
(C) 1